Reversible entanglement manipulation

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Problem

The concept of entanglement as a resource for quantum information processes motivates the study of its transformation properties under restricted classes of allowed operations, such as local operations and classical communication (LOCC). The key questions in such an approach are whether a given state contains the resource, i.e. is entangled, and to characterize the set of states we can transform it into with our restricted set of operations, e.g. LOCC. This is similar to the second law of thermodynamics where we know that one equilibrium state can be transformed adiabatically into another one if and only if the entropy increases in the process. In order to find a corresponding theory for entangled states there are two questions

  • Are ppt-operations suffcient to ensure asymptotically reversibly interconversion of all, i.e. pure and mixed, bi-partite entangled states?
  • What is the smallest non-trivial class of operations that permits asymptotically reversibly interconversion of all, i.e. pure and mixed, bi-partite entangled states?


Background

The concept of entanglement as a resource for quantum information processes motivates the study of its transformation properties under restricted classes of allowed operations, such as local operations and classical communication (LOCC). The key question in such an approach is whether a given state contains the resource, i.e. is entangled, and to characterize the set of states we can transform it into with our restricted set of operations, e.g. LOCC. This is similar to the second law of thermodynamics where we know that one equilibrium state can be transformed adiabatically into another one if and only if the entropy increases in the process.

  • Some basic definitions
  • Another definition you may need


Partial Results

  • one partial result
  • another partial result


Solution

A text describing the solution. If there is no solution so far, leave this empty


Literature

here some shorthand symbol, see line below here the reference, see below
[J]J. Doe, Phys. Rev. A etc.